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Simplifying 3(6 + -2x) + 4(x + -5) = 8 (6 * 3 + -2x * 3) + 4(x + -5) = 8 (18 + -6x) + 4(x + -5) = 8 Reorder the terms: 18 + -6x + 4(-5 + x) = 8 18 + -6x + (-5 * 4 + x * 4) = 8 18 + -6x + (-20 + 4x) = 8 Reorder the terms: 18 + -20 + -6x + 4x = 8 Combine like terms: 18 + -20 = -2 -2 + -6x + 4x = 8 Combine like terms: -6x + 4x = -2x -2 + -2x = 8 Solving -2 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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